The coefficients of a p-adic measure and its Γ-transform

In this paper we show how the coefficients of the power series associated to a p-adic valued measure α on ℤ_p are related to the coefficients of the measure β on 1+pℤ_p associated to the Γ-transform of α. In particular, we prove congruences modulo p amongst these coefficients. Finally, we show how these congruences can be used to relate the coefficients of α to the λ-invariant of the Iwasawa series of the Γ-transform of α.